245879040 has 144 divisors (see below), whose sum is σ = 856812096. Its totient is φ = 59596800.

The previous prime is 245879021. The next prime is 245879069. The reversal of 245879040 is 40978542.

It is a super-2 number, since 2×245879040² = 120913004622643200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 245879040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39330 + ... + 45150.

It is an arithmetic number, because the mean of its divisors is an integer number (5950084).

Almost surely, 2^245879040 is an apocalyptic number.

245879040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428406048).

245879040 is an abundant number, since it is smaller than the sum of its proper divisors (610933056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245879040 is a wasteful number, since it uses less digits than its factorization.

245879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 245879040 is about 15680.5306032672. The cubic root of 245879040 is about 626.4799403432.

The spelling of 245879040 in words is "two hundred forty-five million, eight hundred seventy-nine thousand, forty".